{"title":"Sobolev空间中MHD边界层方程的长时间适定性","authors":"Dongxiang Chen","doi":"10.4208/ata.oa-0015","DOIUrl":null,"url":null,"abstract":"In this paper, we study the long time well-posedness of 2-D MHD boundary layer equation. It was proved that if the initial data satisfies ‖(u0, h0 − 1)‖H3,0 μ ∩H1,2 μ ≤ ε, then the life span of the solution is at least of order ε2−η for η > 0.","PeriodicalId":29763,"journal":{"name":"Analysis in Theory and Applications","volume":"18 1","pages":"1-18"},"PeriodicalIF":0.4000,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Long Time Well-Posedness of the MHD Boundary Layer Equation in Sobolev Space\",\"authors\":\"Dongxiang Chen\",\"doi\":\"10.4208/ata.oa-0015\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study the long time well-posedness of 2-D MHD boundary layer equation. It was proved that if the initial data satisfies ‖(u0, h0 − 1)‖H3,0 μ ∩H1,2 μ ≤ ε, then the life span of the solution is at least of order ε2−η for η > 0.\",\"PeriodicalId\":29763,\"journal\":{\"name\":\"Analysis in Theory and Applications\",\"volume\":\"18 1\",\"pages\":\"1-18\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2020-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Analysis in Theory and Applications\",\"FirstCategoryId\":\"95\",\"ListUrlMain\":\"https://doi.org/10.4208/ata.oa-0015\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analysis in Theory and Applications","FirstCategoryId":"95","ListUrlMain":"https://doi.org/10.4208/ata.oa-0015","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Long Time Well-Posedness of the MHD Boundary Layer Equation in Sobolev Space
In this paper, we study the long time well-posedness of 2-D MHD boundary layer equation. It was proved that if the initial data satisfies ‖(u0, h0 − 1)‖H3,0 μ ∩H1,2 μ ≤ ε, then the life span of the solution is at least of order ε2−η for η > 0.
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